A small conducting spherical shell with inner radius a and outer radius b is con
ID: 249935 • Letter: A
Question
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +4q. Select True or False for the following statements. True False The electric field in the region r < a is zero. True False The total charge on the inner surface of the small shell is -1q. True False The total charge on the outer surface of the large shell is +3q. True False The radial component of the electric field in the region r > d is given by +3q/(40r2). True False The total charge on the inner surface of the large shell is -5q. True False The electric field in the region c < r < d is zero. True False The total charge on the outer surface of the small shell is zero.
Explanation / Answer
True False The electric field in the region r < a is zero--- False
True False The total charge on the inner surface of the small shell is -1q. ---- False
The charge (-1q) is contained in the inner shell outer surface (b).
True False The total charge on the outer surface of the large shell is +3q. ----- True
True False The radial component of the electric field in the region r > d is given by +3q/(40r2).---- False
The outer surface of the outer shell (d) has its charge given by the outer shell (c-d) total charge ((+4q)-(+1q)= (+3q)), the same as the total charge of the entire system.
True False The total charge on the inner surface of the large shell is -5q --- False
rue False The electric field in the region c < r < d is zero--- True
True False The total charge on the outer surface of the small shell is zero.--- True
there is no electric field within a conducting body, and if there's no charge in its interior, there is no field either.